Peter-Weyl Theorem for Homogeneous Spaces of Compact Groups

Autor: Arash Ghaani Farashahi
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: International Journal of Analysis and Applications, Vol 13, Iss 1, Pp 22-31 (2017)
Druh dokumentu: article
ISSN: 2291-8639
Popis: This paper presents a structured formalism for a constructive generalization of the Peter-Weyl Theorem over homogeneous spaces of compact groups. Let H be a closed subgroup of a compact group G and µ be the normalized G-invariant measure on the compact left coset space G/H. We then present an abstract T H -version of the Peter-Weyl Theorem for the Hilbert function space L2 (G/H,µ).
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